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Finding the Third Proportional to 2,856.94 and 4,081.22

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Solution

The third proportional to 2,856.94 and 4,081.22 is: 5,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.94 : 4,081.22 = 4,081.22 : x
  2. Step 2: Convert to fraction form
    2,856.94/4,081.22 = 4,081.22/x
  3. Step 3: Cross multiply
    2,856.94x = 4,081.22 × 4,081.22
  4. Step 4: Simplify right side
    2,856.94x = 16,656,346.49
  5. Step 5: Solve for x
    x = 16,656,346.49/2,856.94
  6. Step 6: Final answer
    x = 5,830.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.